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VGAM (version 0.7-5)

Vector Generalized Linear and Additive Models

Description

Vector generalized linear and additive models, and associated models (Reduced-Rank VGLMs, Quadratic RR-VGLMs, Reduced-Rank VGAMs). This package fits many models and distribution by maximum likelihood estimation (MLE) or penalized MLE. Also fits constrained ordination models in ecology.

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Version

Install

install.packages('VGAM')

Monthly Downloads

43,625

Version

0.7-5

License

GPL version 2

Maintainer

Thomas Yee

Last Published

February 12th, 2025

Functions in VGAM (0.7-5)

Nakagami Distribution

Return Level Plot for GEV Fits

A Short-tailed Symmetric Distribution

Invparalogistic

The Inverse Paralogistic Distribution

The Two-parameter Beta Distribution Family Function

Zipf Distribution Family Function

Exponentiated Exponential Distribution

Logistic Distribution Family Function

Geometric Distribution

Farlie-Gumbel-Morgenstern's Bivariate Distribution Family Function

The ABO Blood Group System

Beta Distribution of the Second Kind

Folded Normal Distribution Family Function

Laplace Distribution

Mean Excess Plot

Zero-Inflated Negative Binomial Distribution

Fitting a Dirichlet-Multinomial Distribution

The AB-Ab-aB-ab Blood Group System

The Pareto(IV/III/II) Distributions

Acute Myelogenous Leukemia Survival Data

Extract Model Constrained/Canonical Coefficients

Chest Pain in NZ Adults

calibrate.qrrvglm.control

Control function for CQO/UQO/CAO calibration

F Distribution Family Function

Creates a Matrix of Appropriate Dimension

The AA-Aa-aa Blood Group System

Returns Important Matrices etc. of a QO Object

Coef.rrvglm-class

Class ``Coef.rrvglm''

Coef.qrrvglm-class

Class ``Coef.qrrvglm''

Auckland University Undergraduate Counts

The Paralogistic Distribution

Ordinal Regression with Adjacent Categories Probabilities

The Birnbaum-Saunders Distribution

The Beta-Geometric Distribution

The Frechet Distribution

Erlang Distribution

Generalized Gamma distribution family function

The Borel-Tanner Distribution

Exponential Distribution

Univariate Normal Distribution with Double Censoring

Frank's Bivariate Distribution

Log-log Link Function

Maxwell Distribution Family Function

McKay's Bivariate Gamma Distribution

Mixture of Two Poisson Distributions

Generalized Poisson distribution

Michaelis-Menten Model

Power Link Function

qrrvglm.control

Control function for QRR-VGLMs (CQO)

The Rayleigh Distribution

The AB-Ab-aB-ab2 Blood Group System

GARMA (Generalized Autoregressive Moving-Average) Models

Generalized Pareto Distribution Family Function

Haight's Zeta Function

Beta-binomial Distribution Family Function

Cauchy Distribution Family Function

Redirects the user to cqo

Hypergeometric Family Function

The Generalized Extreme Value Distribution

Returns Important Matrices etc. of a RR-VGLM Object

The MNSs Blood Group System

Ordinal Regression with Cumulative Probabilities

Loglinear Model for Three Binary Responses

The Singh-Maddala Distribution

Logarithmic Distribution

Low-iron Rat Teratology Data

Inputting Data to fit a Bradley Terry Model

The Beta-Binomial Distribution

Mixture of Two Exponential Distributions

Log link function with an offset

Gamma Hyperbola Bivariate Distribution

Adds a List to the End of the List ``.smart.prediction''

Chi-squared Distribution

Fitting a Dirichlet Distribution

Felix Distribution Family Function

Negative Binomial-Ordinal Link Function

Fisk Distribution family function

notdocumentedyet

Undocumented and Internally Used Functions and Classes

The Folded-Normal Distribution

The Beta-Prime Distribution

Generalized Beta Distribution of the Second Kind

Perspective plot for QRR-VGLMs

Default VGAM Plotting

The Zeta Distribution

Bivariate Probit Model

Plackett's Bivariate Distribution Family Function

Ordinal Poisson Family Function

2-parameter Gamma Distribution

Positive-Poisson Distribution

The Dagum Distribution

Quantile Plot for LMS Quantile Regression

plotdeplot.lmscreg

Density Plot for LMS Quantile Regression

Quasi-Poisson Family Function

The Inverse Lomax Distribution

CommonVGAMffArguments

Common VGAM family function Arguments

Binomial Family Function

The Two-parameter Beta Distribution Family Function

Yeo-Johnson Transformation

Positive Negative Binomial Distribution Family Function

Zero-Altered Poisson Distribution

Smart Prediction

Zero-Inflated Binomial Distribution Family Function

calibrate-methods

Calibration for Constrained Regression Models

The Gumbel Distribution

Model Calibrations

Biplot of Constrained Regression Models

calibrate.qrrvglm

Calibration for CQO, UQO and CAO models

Rutherford-Geiger Polonium Data

Link functions for VGLM/VGAM/etc. families

Computes Model Coefficients and Quantities

Pneumoconiosis amongst a group of coalminers

General Electric and Westinghouse Data

The Generalized Gamma Distribution

Skellam Distribution Family Function

Hunua Ranges Data

1-parameter Gamma Distribution

get.smart.prediction

Retrieves ``.smart.prediction''

Determine What Mode the Smart Prediction is In

The Lomax Distribution

Identity Link Function

The G1G2G3 Blood Group System

Inverse Gaussian Distribution Family Function

Rhobit Link Function

Control function for rrvglm

Waitakere Ranges Data

Benini Distribution Family Function

Inverse Binomial Distribution Family Function

Fitting Constrained Additive Ordination (CAO)

Bivariate Logistic Distribution

The Laplace Distribution

Gumbel Distribution Family Function

Constrained (Canonical) Coefficients

Zero-Inflated Poisson Distribution (Yip (1988) algorithm)

Log-gamma Distribution Family Function

Lerch Phi Function

Beta-geometric Distribution Family Function

Venice Maximum Sea Levels

Fitting a Dirichlet-Multinomial Distribution

Levy Distribution Family Function

Breathlessness and Wheeze Amongst Coalminers

Complementary Log-log Link Function

Control function for vglm

Fitted Values of a VLM object

Control Function for RR-VGAMs (CAO)

LMS Quantile Regression with a Box-Cox transformation to a Gamma Distribution

Cardioid Distribution Family Function

Cauchit Link Function

Folded Square Root Link Function

Censored Poisson Family Function

Censored Normal Distribution

Density Plot for LMS Quantile Regression

Double Exponential Binomial Distribution Family Function

Gaussian (normal) Family Function

Latent Variable Plot for RR-VGLMs

Poisson-points-on-a-plane/volume Distances Distribution

Fisher's Z Link Function

LMS Quantile Regression with a Yeo-Johnson Transformation to Normality

Generalized Beta Distribution Family Function

Zero-Inflated Poisson Distribution

Generalized Extreme Value Distribution Family Function

Retrieve One Component of ``.smart.prediction''

Hyperbolic Secant Distribution Family Function

Prentice (1974) Log-gamma Distribution

The Generalized Pareto Distribution

The Rice Distribution

Hunting Spider Data

Gumbel's Type I Bivariate Distribution Family Function

Test For a Smart Object

Fitting Goodman's RC Association Model

Kumaraswamy Distribution Family Function

Skew-Normal Distribution

Poisson-Ordinal Link Function

Zero-Inflated Binomial Distribution

The Poisson Lognormal Distribution

Rice Distribution Family Function

Univariate normal distribution

Defining smooths in VGAM formulae

Chinese Population in New Zealand 1867--2001

Zero-Inflated Negative Binomial Distribution Family Function

Fitting Reduced-Rank Vector Generalized Linear Models (RR-VGLMs)

Positive Normal Distribution Family Function

Log link function

Index from Array to Matrix

LMS Quantile Regression with a Box-Cox Transformation to Normality

Logit Link Function

Loglinear Model for Two Binary Responses

Positive-Binomial Distribution

Latent Variable Plot

Lognormal Distribution

McCullagh (1989) Distribution Family Function

Multinomial Logit Model

Nested reduced-rank autoregressive models for multiple time series

Construct the Model Frame of a VLM Object

Oxford Temperature Data

Fitting Unconstrained Quadratic Ordination (UQO)

The Two-stage Sequential Binomial Distribution Family Function

Negative Binomial Distribution Family Function

undocumented-methods

Undocumented Methods Functions

Positive Poisson Distribution Family Function

Class ``vglmff''

Zeta Distribution Family Function

quasibinomialff

Quasi-Binomial Family Function

plotqtplot.lmscreg

Quantile Plot for LMS Quantile Regression

Vector cubic smoothing spline

plotvgam.control

Control Function for plotvgam()

rrvglm.optim.control

Control function for rrvglm() calling optim()

Triangle Distribution Family Function

The Truncated Pareto Distribution

Quantile Plot for Gumbel Regression

The Dirichlet distribution

The Inverse Gaussian Distribution

Class ``rrvglm''

Create a Survival Object

Trajectory Plot

Positive-negative binomial distribution random variates

Bivariate Logistic Distribution Family Function

Bivariate Logistic Regression

Wald Distribution Family Function

Fitting Vector Generalized Linear Models

Asymmetric Least Squares Quantile Regression

Yule-Simon Distribution

Yule-Simon Family Function

Beta-binomial Distribution Family Function

The zero Argument in VGAM Family Functions

Student t Distribution

smart.expression

S Expression for Smart Functions

Trajectory plot for QRR-VGLMs

Univariate Skew-Normal Distribution Family Function

Borel-Tanner Distribution Family Function

Cumulative Distribution Function for LMS Quantile Regression

Censored Gumbel Distribution

Cardioid Distribution

Fitting Constrained Quadratic Ordination (CQO)

Weibull Distribution Family Function

Prior and Working Weights of a VGLM fit

von Mises Distribution Family Function

Ordinal Regression with Continuation Ratios

Exponentiated Exponential Distribution

Zero-Altered Negative Binomial Distribution

Freund's (1961) Bivariate Extension of the Exponential Distribution

2-parameter Gamma Distribution

Gamma-Ordinal Link Function

The Log-Gamma Distribution

Complementary-log Link Function

Latent Variable Plot for QO models

Mixture of Two Univariate Normal Distributions

Morgenstern's Bivariate Distribution Family Function

Model Diagnostic Plots for QRR-VGLMs

Predict Method for a VGLM fit

Probit Link Function

Constrained Quadratic Ordination

Reciprocal link function

Positive Binomial Distribution Family Function

Upper Record Values from a Univariate Normal Distribution

Simplex distribution

Ordinal Regression with Stopping Ratios

Control Function for UQO models

USA grain prices

Fitting Vector Generalized Additive Models

Zero-Inflated Poisson Distribution Family Function

Redirects the user to rrvglm

The Pareto Distribution

Extract Model Coefficients for VLM Objects

Vector Generalized Linear and Additive Models

The Beta-Normal Distribution

Body Mass Index of New Zealand Adults

Bradley Terry Model With Ties

Constraint Matrices

Leipnik Distribution Family Function

Logarithmic Distribution

Latent Variables

model.matrixvlm

Construct the Design Matrix of a VLM Object

Pareto and Truncated Pareto Distribution Family Functions

The Positive-Normal Distribution

Poisson Family Function

Upper Record Values from a 1-parameter Exponential Distribution

Smart Prediction Setup

Reciprocal Inverse Gaussian distribution

Toxoplasmosis Data

Control function for vgam

Cleans Up After Smart Prediction